@sjw @sakura Yes.
You do not have in american law the right to deny business for arbitrary reasons. For example, you cannot deny business to someone because they are black, gay, or jewish.
I think it is entirely reasonable for internet nazis to protest being denied business if there is already law on the books that prevents businesses from denying service.
They should call up their congressman and ask them to pass antidiscriminatory laws which will protect them from such practices. This is how democracy works.
We will see if any congressman will champion and pass a law preventing discrimination of people who support "holocaust revisionism". I think there is some nonzero chance, but I doubt internet nazis will so mobilize.
In the end, although usually business freedom does win out, there are some instances where the people do have a stronger freedom. The mechanism for gaining privileges for the people at the expense of private business is the legal system.
It's a balance of a sort, and admittedly it's rather far in favor of private companies, but it's not something that is entirely one-sided. People can force companies to accept them, and it is nothing new. It is a matter of if congress in our democracy would pass such a law. There is currently no such law on the books (IANAL).